Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

Two hundred people each run 10 km. The table gives some details of the times, $t$ minutes, used to complete the 10 km.
(a)[2]

Calculate his average speed in kilometres per hour.

(b)[4]

Calculate an estimate of the mean time.

(c)[4]

Complete the histogram to show the information in the table.

(d(i))[1]

Use the frequency table opposite to finish the cumulative frequency table.

(d(ii))[3]

Draw a cumulative frequency diagram to show the information in the table above.

(d(iii)(a))[1]

the median.

(d(iii)(b))[1]

the 90th percentile value.

(d(iii)(c))[2]

the number of people who took more than 58 minutes to run the 10 km.

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